
where \(f(\cdot )\)  denotes the feature embedding space of the VGG16 [1]} network, and \(D\)  corresponds to the StyleGAN discriminator. The resulting objective function is a weighted mean of the three losses:
\(\mathcal {L}_g = \mathcal {L}_{mse} + \alpha _{percep}{\cdot }\mathcal {L}_{percep} + \alpha _{gen}{\cdot }\mathcal {L}_{gen}.\) 
